Published February 2011
| public
Journal Article
On solvable subgroups on automorphism groups of right-angled Artin groups
- Creators
- Day, Matthew B.
Abstract
For any right-angled Artin group, we show that its outer automorphism group contains either a finite-index nilpotent subgroup or a nonabelian free subgroup. This is a weak Tits alternative theorem. We find a criterion on the defining graph that determines which case holds. We also consider some examples of solvable subgroups, including one that is not virtually nilpotent and is embedded in a non-obvious way.
Additional Information
© 2011 World Scientific Publishing Company. Received 30 November 2009. Revised 25 February 2010. Communicated by S. Hermiller. I would like to thank the organizers of the 2009 International Conference on Geometric and Combinatorial Methods in Group Theory and Semigroup Theory, where I started considering the problem in this paper. I am grateful to Ruth Charney for commenting on an earlier version of this paper. I would also like to thank the anonymous referee for some helpful comments. This research was done under the support of an NSF Mathematical Sciences Postdoctoral Research Fellowship.Additional details
- Eprint ID
- 23593
- Resolver ID
- CaltechAUTHORS:20110506-141703712
- NSF Mathematical Sciences Postdoctoral Research Fellowship
- Created
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2011-05-12Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field